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  1. Problems
  2. /SAT

SAT problems

36 problems for SAT practice, in Mathematics and Statistics & Data Science, each with a worked solution. Try each one on paper first, then check your answer.

Other examsJEE MainJEE AdvancedNEETBITSATWBJEEBoard ExamOlympiadAPA-LevelIBGaokaoPCEP (Python Institute)PCAP (Python Institute)

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28 problems
Type:
1.
In triangle ABC the right angle is at B, AB = 24 cm and BC = 10 cm. New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Medium
2.
A wheelchair ramp is 4 m long and rises 0.6 m from the ground to a door. New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Medium
3.
A ramp rises at 30° to the ground and reaches a doorstep 0.9 m high. New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Medium
4.
The floor of a hall is a rectangle 4 m longer than it is wide. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
5.
A cyclist rides 60 km. If she rode 5 km/h faster, the ride would take 1 hour less. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
6.
Meera's age two years ago, multiplied by her age five years from now, gives 98. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Hard
7.
A rectangular field is 3 m longer than it is wide, and its area is 50 m². New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
8.
Arjun cycles 36 km to his grandmother's house. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
9.
A stone is thrown upwards. After t seconds its height is h = 30t - 5t² metres. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Hard
10.
Find the values of k for which (k + 1)x² - 2(k - 1)x + 1 = 0 has two equal roots. New
High School (9–10), General · Quadratic EquationsBoard Exam, SAT, A-Level, IBStemPy LabStemPy Lab
Medium
11.
A rectangular hall must have a perimeter of 52 m. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
12.
Find each interior angle of a regular octagon in radians. New
High School (11–12) · Angles and Radian MeasureBoard Exam, SATStemPy LabStemPy Lab
Medium
13.
The minute hand of a clock is 9 cm long. New
High School (11–12) · Angles and Radian MeasureBoard Exam, SAT, A-Level, IBStemPy LabStemPy Lab
Medium
14.
A sprinkler throws water 7.5 m and turns back and forth through 110°. New
High School (11–12) · Angles and Radian MeasureBoard Exam, SAT, A-Level, IBStemPy LabStemPy Lab
Medium
15.
A taxi charges Rs 60 for 3 km and Rs 105 for 6 km.
High School (11–12) · Functions as Models of DataBoard Exam, SATStemPy LabStemPy Lab
Medium
16.
A ball is thrown straight up. After t seconds its height is h = 30t - 5t² metres.
High School (11–12) · Graphs of FunctionsBoard Exam, SATStemPy LabStemPy Lab
Medium
17.
For which value of k does the graph of y = x² - 10x + k touch the x-axis at exactly one point?
High School (11–12) · Graphs of FunctionsBoard Exam, SATStemPy LabStemPy Lab
Medium
18.
In a group of 80 students, 46 like football, 38 like cricket and 20 like both.
High School (11–12) · Sets and IntervalsBoard Exam, SATStemPy LabStemPy Lab
Medium
19.
For what value of k do A(-1, 4), B(1, 1) and C(5, k) lie on one straight line?
High School (9–10), General · Distance, Midpoint and Section FormulaeBoard Exam, SATStemPy LabStemPy Lab
Hard
20.
A(-1, 1), B(3, 1) and C(4, 8) are three corners of the parallelogram ABCD.
High School (9–10), General · The Cartesian PlaneBoard Exam, SATStemPy LabStemPy Lab
Hard
21.
The sum of two numbers is 75. Three times the smaller number equals twice the larger.
High School (9–10), General · Pairs of Linear EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
22.
5 pens and 2 notebooks cost 34 dollars. 3 pens and 4 notebooks cost 40 dollars.
High School (9–10), General · Pairs of Linear EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
23.
For which value of k does the pair 3x + ky = 7 and 6x + 15y = 5 have no solution?
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesBoard Exam, SATStemPy LabStemPy Lab
Hard
24.
A boat goes 45 km downstream in 3 hours and 45 km upstream in 5 hours.
High School (9–10), General · Pairs of Linear EquationsBoard Exam, SATStemPy LabStemPy Lab
Hard
25.
A mother is 4 times as old as her daughter.
High School (9–10), General · Pairs of Linear EquationsBoard Exam, SATStemPy LabStemPy Lab
Hard
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